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1010202001011 = 327192946163127
BaseRepresentation
bin11101011001101001011…
…10110011111001110011
310120120111201021202220100
432230310232303321303
5113022343203013021
62052025210443443
7132661514221140
oct16546456637163
93516451252810
101010202001011
1135a47376a295
1214394a733583
1374352a91028
1436c7334d3c7
151b427226626
hexeb34bb3e73

1010202001011 has 96 divisors (see below), whose sum is σ = 1819904486400. Its totient is φ = 526864746240.

The previous prime is 1010202000959. The next prime is 1010202001019. The reversal of 1010202001011 is 1101002020101.

It is a happy number.

It is not a de Polignac number, because 1010202001011 - 29 = 1010202000499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010202000984 and 1010202001002.

It is not an unprimeable number, because it can be changed into a prime (1010202001019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15971130 + ... + 16034256.

It is an arithmetic number, because the mean of its divisors is an integer number (18957338400).

Almost surely, 21010202001011 is an apocalyptic number.

1010202001011 is a deficient number, since it is larger than the sum of its proper divisors (809702485389).

1010202001011 is a wasteful number, since it uses less digits than its factorization.

1010202001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63649 (or 63646 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010202001011 its reverse (1101002020101), we get a palindrome (2111204021112).

The spelling of 1010202001011 in words is "one trillion, ten billion, two hundred two million, one thousand, eleven".

Divisors: 1 3 7 9 19 21 29 57 63 87 133 171 203 261 399 461 551 609 1197 1383 1653 1827 3227 3857 4149 4959 8759 9681 11571 13369 26277 29043 34713 40107 61313 63127 78831 93583 120321 183939 189381 254011 280749 441889 551817 568143 762033 842247 1199413 1325667 1778077 1830683 2286099 3598239 3977001 5334231 5492049 8395891 10794717 12814781 16002693 16476147 25187673 29101547 34782977 38444343 75563019 87304641 104348931 115333029 203710829 243480839 261913923 313046793 552929393 611132487 730442517 843944863 1658788179 1833397461 2191327551 2531834589 3870505751 4976364537 5907614041 7595503767 11611517253 16034952397 17722842123 34834551759 48104857191 53168526369 112244666779 144314571573 336734000337 1010202001011